What is the Least Common Multiple of 91374 and 91383?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 91374 and 91383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91374 and 91383, than apply into the LCM equation.

GCF(91374,91383) = 3
LCM(91374,91383) = ( 91374 × 91383) / 3
LCM(91374,91383) = 8350030242 / 3
LCM(91374,91383) = 2783343414

Least Common Multiple (LCM) of 91374 and 91383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91374 and 91383. First we will calculate the prime factors of 91374 and 91383.

Prime Factorization of 91374

Prime Factorization of 91383

Now multiplying the highest exponent prime factors to calculate the LCM of 91374 and 91383.

LCM(91374,91383) = 2¹ × 3¹ × 97¹ × 157¹ × 83¹ × 367¹
LCM(91374,91383) = 2783343414